Ok I’m thinking about getting a license for 360. Trouble is though, after Unity is done publishing do I just burn it to a disc or what?
there is no 360 license you can buy.
You can only “just buy” licenses to iOS, android and desktop (win - mac - web)
the 360 support thats in beta is only for microsoft licensed xbox 360 developers (the real ones, no support for the indie marketplace or xna at all) and costs 5-6 figure USD per title.
Publishing such games depends on what license you got, but without a publisher your company and your game won’t go anywhere commonly, potentially not even XBLA given you are licensed for this instead of disk distribution